Which equation represents a line that is perpendicular to the line whose equation is y = 4x + 12?y = 4x + 4
y = -4x + 7
y = (-1/4x) + 1
y = (1/4x) + 9

Answers

Answer 1

Answer: Hello,
slope perpendicular of 4 is -1/4

Answer C

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Tia cut 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces.How much longer is one of Martha's wires than one of Tina's?

Answers

19.2 centimeters

Explanation: Convert 4m 8cm into cm so it is 408cm. Divide 408 by 10 and you get 40.8cm. Then divide 540 by 9 and you get 60cm. 40.8 and 60 are the measurements of each piece of wire. Subtract 40.8cm from 60cm to get 19.2cm which is the answer.

A -In 2000 , The United States government owed about $5.63 trillion to its creditors . The population of the United States was 282.4 million people . How much did the government owe per person in 2000 / Round to the nearest dollarB) In 2005 , the bebt had growth to $7.91 trillion , with a population of 296.9 million
How much did the government owe per person ? Round to the nearest dollar.

c- What was the percent increase in the average amount owed per person from 2000 to 2005 ?

Thank you my friend ! please make sure you answer with all the step and information .

Answers

A

5.63 trillion=5.63 million, million

how much per person is
282.4 million
(5.63million, million)/(282.4 million)=(5.63 million)/(282.4)= (5,630,000)/(282.4)=19936.2
round
$19,936 per person

B same thing

7.91 trillion=7.91 million, million

how much per person is
296.9 million
(7.91million, million)/(296.9 million)=(7.91 million)/(296.9)= (7,910,000)/(296.9)=26641.9
round to nearest dollar
$26642

C. increase from
19,936 to 26,642
find difference
26,642-19,936=6706
percent increase=increase/original=6706/19936=0.336/1
percent means parts out of 100
.336/1 times 100/100=33.6/100=33.6%
aprox 34%

A. $19,936
B. $26,642
C. 33.6%

Find the perimeter and area of a rectangle whose length is (x + 1) and whose width is (x - 3). Express your answer in terms of x. With explanation if you can plz and thx

Answers

Answer:

Perimeter=2L+2w

P=2(x+1)+2(x-3)

P=2x+2+2x-6

P=4x-4

Area=Lxw

A=(x+1)x(x-3)

A=x^2-3x+x-3

A=x^2-2x-3

Step-by-step explanation:

I don't have one :v

Final answer:

The perimeter of the rectangle is 4x - 4 and the area is x^2 - 2x - 3.

Explanation:

The perimeter of a rectangle is calculated by the formula 2*(Length + Width). Hence, the perimeter for the rectangle in question will be 2*((x + 1) + (x - 3)) = 2*(2x - 2) = 4x - 4.

The area of a rectangle is calculated by the formula Length * Width. Therefore, the area for the rectangle equals (x + 1) * (x - 3) = x^2 - 3x + x - 3 = x^2 - 2x - 3.

Learn more about Rectangle Area and Perimeter here:

brainly.com/question/31998076

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Two triangles are similar . The sides of the smaller triangle have lengths of 8,12, and 16 centimeters. The perimeter of the larger triangle is 54 centimeters. Find the length of the shortest side of the triangle.

Answers

Answer:

The shortest side of the larger triangle is 12 cm

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its perimeters is equal to the scale factor

step 1

Find the perimeter of the smaller triangle

$P=8+12+16=36\ cm$

step 2

Find the scale factor

Divide the perimeter of the larger triangle by the perimeter of the smaller triangle

$(54)/(36)= 1.5$

step 3

Find the length of the shortest side of the larger triangle

Multiply the shortest side of the smaller triangle by the scale factor

$(8)1.5=12\ cm$

Christi buys 48 barrettes. She shares the barrettes equally between herself and her 3 sisters. Write an expression to represent the number of barrettes each girl gets.

Answers

Answer: $48/4$

Step-by-step explanation:

Given : Total barrettes bought = 48

The total number of people shares the barrettes =3+1=4 (Including Christi)

Now, if She shares the barrettes equally between herself and her 3 sisters., then the expression to represent the number of barrettes each girl gets will be :-

$\text{Total barrettes}/\text{Total persons}\n\n=48/4$ ( Using division operation)

Hence, the expression to represent the number of barrettes each girl gets:

$48/4$

48 barrettes is being shared by a total of 4 people (herself+3 sisters=4)
What you're going to do is divide 48 by 4 and each one receives: 12 barrettes.

If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?

Answers

so, if z = x+iy,
|z| = $\sqrt{x^2+y^2}$
and $ |z|^2 = x^2 + y^2 $

so if x = 3+bi
|x|^2 = 3^2 + b^2
which is given to be 13

3^2 + b^2 = 13
9+b^2 = 13
b^2 = 13-9
b^2 = 4
b = +\sqrt 4 , -sqrt 4
b = +2,-2

Hence, the possible values of b are +2 or -2.

Answer:

The answer is A in edge. The answer is 2.

Step-by-step explanation:

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